Exercise 3 Use the properties of limits of functions to prove that x+7 lim x+3+x - 3 = +∞ and x+7 lim x-3-x-3 = ∞.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use the formal definitions to prove the given limit:
Exercise 3
Use the properties of limits of functions to prove that
x + 7
lim
x→3+ x 3
= +∞
and
x+7
lim
x 3 x 3
=
∞.
Transcribed Image Text:Exercise 3 Use the properties of limits of functions to prove that x + 7 lim x→3+ x 3 = +∞ and x+7 lim x 3 x 3 = ∞.
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